Mathematics Practical-VII

Paper Code: 
25CMAT412
Credits: 
2
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 
This course will enable the students to -
1. Familiarize with software or numerical computation of the fundamental arithmetic operations.
2. Compute the fundamental concepts of higher mathematics
3. Enhance Problem-Solving skills. 
4. Produce and interpret graphs in various co-ordinate systems.
 
Course Outcomes: 

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

 

 

 

 

 

 

25CMAT 412

 

 

 

Mathematics Practical-VII

(Practical)

 

 

 

 

 

 

CO73: Articulate the relevance of theoretical concepts to the practical work conducted, demonstrating the understanding of the subject matter.

CO74: Apply their knowledge and skills acquired to effectively perform, analyse the task and draw meaningful conclusions.

CO75: Maintain accurate and detailed practical records, including observations, calculations, programming and interpretations.

CO76: Enhance their communication skills by effectively presenting and defending their work.

CO77: Contribute effectively in course-specific interaction.

Approach in teaching:

Interactive Lectures, Discussion, Power Point Presentations, Informative videos

 

Learning activities for the students:

Self learning assignments, Effective questions, Assigned tasks

 

 

Quiz,

Individual or group projects,

Open Book Test, Semester End Examination

 

 

 
CONTENTS

Students are required to familiarize themselves with mathematical software or numericals based on the following topics:
 
1. Binary Composition
2. Test for groups
3. Some special groups like-Symmetric group, General Linear Group(GLG)
4. Test for Rotation, Translation and symmetry in group.
5. Tests for subgroups and normal subgroups.
6. Verification of Lagrange’s theorem
7. Isomorphic groups
8. Verification of Cayley’s theorem
9. Formation of Quotient groups
10. Numericals on Rings, Fields, Integral Domains
 
 
Essential Readings: 
  • A.R.Vasishtha, J. N. Sharma and A.K. Vasishtha, Linear Algebra, Krishna Prakashan, 2010.
  • K. C. Sarangi, Elements of Abstract Algebra, RBD, Jaipur, 2009.
  • Joseph Gallian, Contemporary Abstract Algebra, Cengage Learning USA, 2013.
  • MATHEMATICA- Stephen Wolfram, Cambridge
  • Galina Filipuk (Author) andrzej Kozłowski, Analysis with Mathematica ,Volume-1 (Single Variable Calculus), De Gruyter,  1st Edition .
 
References: 

          Scheme of Evaluation for Continuous 

                            Assessment

Time Duration: 90 minutes

Test

 Practical Record

Viva Voce

Attendance

Total

10

10

05

05

30

Students need to attempt any 2 out of 4 questions from four topics, each question carry 5 marks
 

Scheme of Evaluation for Semester End Examination

Time Duration: 3 hrs.

Conduction

 

Practical Record

Viva-voce

 

Total

40

10

20

70

Students need to attempt any 4 out of 5 questions, each question carry 10 marks

 

Academic Year: 
2025-2026
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